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perform the calculation 47°50 + 35°14. □°□ (simplify your answer. type …

Question

perform the calculation 47°50 + 35°14.

□°□ (simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Add the degrees

Add the degree parts: \(47^\circ + 35^\circ = 82^\circ\)

Step2: Add the minutes

Add the minute parts: \(50' + 14' = 64'\)

Step3: Convert excess minutes to degrees

Since \(60' = 1^\circ\), we have \(64' = 60' + 4' = 1^\circ 4'\)

Step4: Add the converted degrees to the total degrees

Add the \(1^\circ\) from the converted minutes to the \(82^\circ\) we had before: \(82^\circ + 1^\circ = 83^\circ\) and we have \(4'\) left.

Answer:

\(83^\circ 4'\)